Author:
Broedel Johannes,Duhr Claude,Dulat Falko,Marzucca Robin,Penante Brenda,Tancredi Lorenzo
Abstract
Abstract
We present fully analytic results for all master integrals for the three-loop banana graph with four equal and non-zero masses. The results are remarkably simple and all integrals are expressed as linear combinations of iterated integrals of modular forms of uniform weight for the same congruence subgroup as for the two-loop equal-mass sunrise graph. We also show how to write the results in terms of elliptic polylogarithms evaluated at rational points.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
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